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Finding the Fourth Proportional to 584,097.12, 806,418.92 and 447,869.36

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Solution

The fourth proportional to 584,097.12, 806,418.92 and 447,869.36 is: 618,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,097.12 : 806,418.92 = 447,869.36 : x
  2. Step 2: Convert to fraction form
    584,097.12/806,418.92 = 447,869.36/x
  3. Step 3: Cross multiply
    584,097.12x = 806,418.92 × 447,869.36
  4. Step 4: Simplify right side
    584,097.12x = 361,170,328,728.01
  5. Step 5: Solve for x
    x = 361,170,328,728.01/584,097.12
  6. Step 6: Final answer
    x = 618,339.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.